2k^2-k-36=

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Solution for 2k^2-k-36= equation:


Simplifying
2k2 + -1k + -36 = 0

Reorder the terms:
-36 + -1k + 2k2 = 0

Solving
-36 + -1k + 2k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-4 + -1k)(9 + -2k) = 0

Subproblem 1

Set the factor '(-4 + -1k)' equal to zero and attempt to solve: Simplifying -4 + -1k = 0 Solving -4 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1k = 0 + 4 -1k = 0 + 4 Combine like terms: 0 + 4 = 4 -1k = 4 Divide each side by '-1'. k = -4 Simplifying k = -4

Subproblem 2

Set the factor '(9 + -2k)' equal to zero and attempt to solve: Simplifying 9 + -2k = 0 Solving 9 + -2k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2k = 0 + -9 -2k = 0 + -9 Combine like terms: 0 + -9 = -9 -2k = -9 Divide each side by '-2'. k = 4.5 Simplifying k = 4.5

Solution

k = {-4, 4.5}

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